If `1/x+1/y=k` and `1/x-1/y=k`, then the value of y is:

If the line (x-2)/-1=(y+2)/1=(z+k)/4 is one of the angle bisector of the lines x/1=y/-2=z/3 and x/-2=y/3=z/1 then the value of k is

The line (x)/(k)=(y)/(2)=(z)/(-12) makes an isosceles triangle with the planes 2x+y+3z-1=0 and x+2y-3z-1=0 then the value of k is-

If x = 1, y = 3 and x + y = K . Find the value of K.

If sin^(-1)x+sin^(-1)y=pi and x=ky then find the value of (39)^(2k)+5^(k)

sin57^(@)cos3^(@)=(sqrt(x)+sqrt(y)+1)/(z) , and (x+y+z)=k^(2),k in R then the value of k=

If K is constant such that xy + k = e ^(((x-1)^2)/(2)) satisfies the differential equation x . ( dy )/( dx) = (( x^2 - x-1) y+ (x-1) and y (1) =0 then find the value of K .

A circle x^(2)+y^(2)=1 cuts the line x+y=k and makes chord with length 1. The value of |K| is:

The expression ( x + 2 y )^ 20 contain two terms with the same coefficient of the form k x^a ( y)^ b and k x^ (a+1) ( y)^ (b − 1) ,then the value of a is